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Which one of the following vectors is a magnitude 6 and perpendicular to both a=2hati+2hatj+hatk and b=hati-2hatj+2hatk? |
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Answer» `2hati-hatj-2hatk` `6hat(i)-3HAT(j)-6hat(k)` `|axxb|=sqrt(36+9+36)=sqrt(81)=9` `therefore` Requried VECTORS are `+-6|(axxb)/(|axxb||)|=+-(6)/(9)(6hat(i)-3hat(j)-6hat(k))=+-2(2hat(i)-hat(j)-2hat(k))` |
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